Counter to late game Veigar with 1L+ AP?
?
?
is that supposed to be 1k+?
the answer is banshees and then kill him as quickly as possible.

CC? Any assassin/gapcloser with burst? MR? Banshee's/any sort of invulnerability (Zhonya's/GA/etc)?
The juggernaut that has a spirit visage and runs at Veigar.